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Consider following John von Neumann's advice "in mathematics you don't understand things. You just get used to them." Write down the first 100 equations involv
by fritzo 4y ago
Consider following John von Neumann's advice "in mathematics you don't understand things. You just get used to them." Write down the first 100 equations involving sin, cos, tan, log. Use those equations in 100 larger derivations. Visualize the functions in 100 different ways (2D, 3D, animated).
It's a lot of memorization and "getting used to" the math, punctuated by a few "aha moments" of insight when you realize the 100 examples can be compressed into say only 50 examples. In retrospect its tempting to think the insights led to understanding, but really they were just the dopamine hits on top of the real stuff of understanding: tedious acclimation to a new abstract realm.